Lesson 13: Cube Roots | Unit 8: Pythagorean Theorem and Irrational Numbers

Multiple Choice

What is the positive solution to the equation $$t^3=216$$ ? If the solution is irrational, write the solution using square root or cube root notation.

• 6
• 5
• 7
• 8

Multiple Choice

Find the positive solution to the equation $$a^2=15$$ . If the solution is irrational, write the solution using square root or cube root notation.

• √5
• 15
• √15
• 3√5

Multiple Choice

What is the positive solution to the equation $$m^3=8$$ ? If the solution is irrational, write the solution using square root or cube root notation.

• 2
• 1
• 4
• 3

Multiple Choice

What is the positive solution to the equation $$c^3=343$$ ? If the solution is irrational, write the solution using square root or cube root notation.

• 6
• 8
• 9
• 7

Multiple Choice

Find the positive solution to the equation $$f^3=181$$ . If the solution is irrational, write the solution using square root or cube root notation.

• $\sqrt{181}$
• $f=181^{1/3}$
• $\sqrt[3]{180}$
• \sqrt[3]{181}

Multiple Choice

For each cube root, find the two whole numbers that it lies between. $$\sqrt[3]{11}$$

• 2 and 4
• 1 and 2
• 2 and 3
• 3 and 4

Multiple Choice

For each cube root, find the two whole numbers that it lies between. $$\sqrt[3]{80}$$

• 6 and 7
• 5 and 6
• 3 and 4
• 4 and 5

Multiple Choice

For each cube root, find the two whole numbers that it lies between. $$\sqrt[3]{120}$$

• 2 and 3
• 5 and 6
• 3 and 4
• 4 and 5

Multiple Choice

For each cube root, find the two whole numbers that it lies between. $$\sqrt[3]{250}$$

• 6 and 7
• 5 and 6
• 7 and 8
• 4 and 5

Multiple Choice

Which of the following is the correct order of the values from least to greatest?

• 1, 2, 3, 4
• 3, 4, 1, 2
• 4, 3, 2, 1
• 2, 1, 3, 4